Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
107604o |
Isogeny class |
Conductor |
107604 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-459388044718848 = -1 · 28 · 36 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11760,-906892] |
[a1,a2,a3,a4,a6] |
j |
8192000/20923 |
j-invariant |
L |
2.1737512304262 |
L(r)(E,1)/r! |
Ω |
0.27171888225953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11956e1 15372g1 |
Quadratic twists by: -3 -7 |